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413342325 = 335211179311
BaseRepresentation
bin11000101000110…
…001101001110101
31001210202222002000
4120220301221311
51321303423300
6105003205513
713146231444
oct3050615165
91053688060
10413342325
111a2359230
12b6516899
1367833576
143cc78d5b
152644bc00
hex18a31a75

413342325 has 96 divisors (see below), whose sum is σ = 835660800. Its totient is φ = 198648000.

The previous prime is 413342311. The next prime is 413342329. The reversal of 413342325 is 523243314.

413342325 is a `hidden beast` number, since 4 + 1 + 334 + 2 + 325 = 666.

It is not a de Polignac number, because 413342325 - 26 = 413342261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413342329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1328920 + ... + 1329230.

It is an arithmetic number, because the mean of its divisors is an integer number (8704800).

Almost surely, 2413342325 is an apocalyptic number.

413342325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413342325 is an abundant number, since it is smaller than the sum of its proper divisors (422318475).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413342325 is a wasteful number, since it uses less digits than its factorization.

413342325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 413342325 is about 20330.8220443739. The cubic root of 413342325 is about 744.9091221371.

Adding to 413342325 its reverse (523243314), we get a palindrome (936585639).

The spelling of 413342325 in words is "four hundred thirteen million, three hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 179 225 275 297 311 495 537 675 825 895 933 1485 1555 1611 1969 2475 2685 2799 3421 4475 4665 4833 5907 7425 7775 8055 8397 9845 10263 13425 13995 17105 17721 23325 24165 29535 30789 40275 41985 49225 51315 53163 55669 69975 85525 88605 92367 120825 147675 153945 167007 209925 256575 265815 278345 443025 461835 501021 612359 769725 835035 1329075 1391725 1503063 1837077 2309175 2505105 3061795 4175175 5511231 7515315 9185385 12525525 15308975 16533693 27556155 37576575 45926925 82668465 137780775 413342325